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Finding the Fourth Proportional to 24,514.80, 36,762.12 and 9,721.68

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Solution

The fourth proportional to 24,514.80, 36,762.12 and 9,721.68 is: 14,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.80 : 36,762.12 = 9,721.68 : x
  2. Step 2: Convert to fraction form
    24,514.80/36,762.12 = 9,721.68/x
  3. Step 3: Cross multiply
    24,514.80x = 36,762.12 × 9,721.68
  4. Step 4: Simplify right side
    24,514.80x = 357,389,566.76
  5. Step 5: Solve for x
    x = 357,389,566.76/24,514.80
  6. Step 6: Final answer
    x = 14,578.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.